Series ;)

Ok so i have these 2 problems. The first i can get the answer in the book except for the part. The Second i'm not sure how to even start. So if you could help me figure out the first and just get me started on the second that would be great ^.^

Directions: Find the power series representation for the function and determine the radius of convergence.

Ok so i have these 2 problems. The first i can get the answer in the book except for the part.
1.

Answer:

Well, to get the power series representation, you first have to take a derivative. Then, at the end, you have to take an integral, and when you take an indefinite integral, you have to add "+C" to it to represent any constant that the derivative could have knocked out. Then to solve for "C," you set x equal to 0, so you get..